Safe Haskell	None
Language	Haskell2010

Math.OEIS

Contents

Functions
Types

Synopsis

searchSeq :: SearchStatus -> Int -> Vector OEISSeq
searchSeq' :: SearchStatus -> Int -> IO (Vector OEISSeq)
lookupSeq :: SearchStatus -> Maybe OEISSeq
lookupSeq' :: SearchStatus -> IO (Maybe OEISSeq)
getSeqData :: SearchStatus -> Maybe SeqData
getSeqData' :: SearchStatus -> IO (Maybe SeqData)
extendSeq :: SeqData -> SeqData
extendSeq' :: [Integer] -> IO [Integer]
type SeqData = [Integer]
data SearchStatus
- = ID Text
- | SubSeq SeqData
- | Signed Text
- | Name Text
- | Comment Text
- | Ref Text
- | Link Text
- | Formula Text
- | Example Text
- | Maple Text
- | Mathematica Text
- | Offset Text
- | Program Text
- | XRef Text
- | KeyWord Text
- | Author Text
- | Extension Text
- | Others Text
data Keyword
- = Base
- | Bref
- | Changed
- | Cofr
- | Cons
- | Core
- | Dead
- | Dumb
- | Dupe
- | Easy
- | Eigen
- | Fini
- | Frac
- | Full
- | Hard
- | More
- | Mult
- | New
- | Nice
- | Nonn
- | Obsc
- | Sign
- | Tabf
- | Tabl
- | Uned
- | Unkn
- | Walk
- | Word
- | Look
- | Other
data OEISSeq = OEIS {
- number :: Text
- ids :: Texts
- seqData :: SeqData
- name :: Text
- comment :: Texts
- reference :: Texts
- link :: Texts
- formula :: Texts
- example :: Texts
- maple :: Texts
- mathematica :: Texts
- program :: [Program]
- xref :: Texts
- keyword :: [Keyword]
- offset :: Integer
- author :: Text
- ext :: Texts
- references :: Integer
- revision :: Integer
- time :: Text
- created :: Text
}

Functions

searchSeq :: SearchStatus -> Int -> Vector OEISSeq Source #

Get all search results on OEIS

e.g.

ghci>searchSeq (ID "A000027") 0
[OEIS {number = "A000027", ids = ["M0472","N0173"], seqData = [1,2,3,4,5,6,7,...

ghci>searchSeq (SubSeq [1,2,3,4]) 0
[OEIS {number = "A000027", ids = ["M0472","N0173"], seqData = [1,2,3,4,5,6,7,...
ghci>length it
53
ghci>searchSeq (SubSeq [1,2,3,4]) 17
[OEIS {number = "A000027", ids = ["M0472","N0173"], seqData = [1,2,3,4,5,6,7,8,9,
ghci>length it
17

ghci>searchSeq (SubSeq [1,1,4,5,1,4,1,9,1,9,8,9,3]) 0
[]

searchSeq' :: SearchStatus -> Int -> IO (Vector OEISSeq) Source #

searchSeq in IO

lookupSeq :: SearchStatus -> Maybe OEISSeq Source #

Look up a sequence on OEIS.

e.g.

ghci>lookupSeq (ID "A000027")
Just (OEIS {number = "A000027", ids = ["M0472","N0173"], seqData = [1,2,3,4,5,6,7,...

ghci>lookupSeq (SubSeq [1,2,3,4])
Just (OEIS {number = "A000027", ids = ["M0472","N0173"], seqData = [1,2,3,4,5,6,7,...

lookupSeq' :: SearchStatus -> IO (Maybe OEISSeq) Source #

lookupSeq in IO

getSeqData :: SearchStatus -> Maybe SeqData Source #

Get sub-sequence on OEIS.

e.g.

ghci>getSeqData (ID "A000027")
Just [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77]

ghci>getSeqData (SubSeq [1,2,3,4])
Just [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77]

getSeqData' :: SearchStatus -> IO (Maybe SeqData) Source #

getSeqData in IO

extendSeq :: SeqData -> SeqData Source #

Extend from sub-sequence.

e.g.

ghci>extendSeq [1,2,3,4]
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77]

ghci> extendSeq [1,3,2,5,6,1,6]
[1,3,2,5,6,1,6]

extendSeq' :: [Integer] -> IO [Integer] Source #

extendSeq in IO

Types

type SeqData = [Integer] Source #

data SearchStatus Source #

Constructors

ID Text
SubSeq SeqData
Signed Text
Name Text
Comment Text
Ref Text
Link Text
Formula Text
Example Text
Maple Text
Mathematica Text
Offset Text
Program Text
XRef Text
KeyWord Text
Author Text
Extension Text
Others Text

Instances

Eq SearchStatus Source #
Instance details Defined in Math.OEIS.Types Methods (==) :: SearchStatus -> SearchStatus -> Bool # (/=) :: SearchStatus -> SearchStatus -> Bool #
Show SearchStatus Source #
Instance details Defined in Math.OEIS.Types Methods showsPrec :: Int -> SearchStatus -> ShowS # show :: SearchStatus -> String # showList :: [SearchStatus] -> ShowS #

data Keyword Source #

Constructors

Base
Bref
Changed
Cofr
Cons
Core
Dead
Dumb
Dupe
Easy
Eigen
Fini
Frac
Full
Hard
More
Mult
New
Nice
Nonn
Obsc
Sign
Tabf
Tabl
Uned
Unkn
Walk
Word
Look
Other

Instances

Eq Keyword Source #
Instance details Defined in Math.OEIS.Types Methods (==) :: Keyword -> Keyword -> Bool # (/=) :: Keyword -> Keyword -> Bool #
Read Keyword Source #
Instance details Defined in Math.OEIS.Types Methods readsPrec :: Int -> ReadS Keyword # readList :: ReadS [Keyword] # readPrec :: ReadPrec Keyword # readListPrec :: ReadPrec [Keyword] #
Show Keyword Source #
Instance details Defined in Math.OEIS.Types Methods showsPrec :: Int -> Keyword -> ShowS # show :: Keyword -> String # showList :: [Keyword] -> ShowS #

data OEISSeq Source #

Constructors

OEIS
Fields number :: Text ids :: Texts seqData :: SeqData name :: Text comment :: Texts reference :: Texts link :: Texts formula :: Texts example :: Texts maple :: Texts mathematica :: Texts program :: [Program] xref :: Texts keyword :: [Keyword] offset :: Integer author :: Text ext :: Texts references :: Integer revision :: Integer time :: Text created :: Text

Instances

Eq OEISSeq Source #
Instance details Defined in Math.OEIS.Types Methods (==) :: OEISSeq -> OEISSeq -> Bool # (/=) :: OEISSeq -> OEISSeq -> Bool #
Read OEISSeq Source #
Instance details Defined in Math.OEIS.Types Methods readsPrec :: Int -> ReadS OEISSeq # readList :: ReadS [OEISSeq] # readPrec :: ReadPrec OEISSeq # readListPrec :: ReadPrec [OEISSeq] #
Show OEISSeq Source #
Instance details Defined in Math.OEIS.Types Methods showsPrec :: Int -> OEISSeq -> ShowS # show :: OEISSeq -> String # showList :: [OEISSeq] -> ShowS #